1322724816 has 360 divisors, whose sum is σ = 4584644064. Its totient is φ = 367960320.

The previous prime is 1322724761. The next prime is 1322724889. The reversal of 1322724816 is 6184272231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10097071 + ... + 10097201.

Almost surely, 2^1322724816 is an apocalyptic number.

1322724816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322724816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1322724816 is an abundant number, since it is smaller than the sum of its proper divisors (3261919248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322724816 is a wasteful number, since it uses less digits than its factorization.

1322724816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1322724816 is about 36369.2839632567. The cubic root of 1322724816 is about 1097.7155941703.

The spelling of 1322724816 in words is "one billion, three hundred twenty-two million, seven hundred twenty-four thousand, eight hundred sixteen".